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wectar tools about web nectar - Algebraic Topology Algebraic Topology addthis_url = location.href; addthis_title = document.title; addthis_pub = 'goosebumps4all'; Wectar Science Math Topology ... Algebraic Topology submit a site to this category Algebraic Topology Textbook URL: http://www.math.cornell.edu/~hatcher/AT/ATpage.html ODP description: A complete, downloadable, introductory text on Algebraic Topology, by Prof. Allen Hatcher, Cornell Univ. 3rd Ed. 553 pp. with illustrations. Available in pdf and postscript versions. Page title: Algebraic Topology Book Page description: A downloadable textbook in algebraic topology Algebraic Topology URL: http://www.math.cornell.edu/~hatcher/ ODP description: Basic core material along with a number of optional topics of a relatively elementary nature by Allen Hatcher. PDF and Postscript. Page title: Allen Hatcher's Homepage Page description: A downloadable textbook in algebraic topology Algebraic Topology URL: http://www.ams.org/online_bks/coll27/ ODP description: 1942 classic by Solomon Lefschetz published by AMS. Chapters in scanned PDF.

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Baza stron www Start Science Math Topology See also: Science: Math: Algebra Science: Math: Algebra: Category Theory Allen Hatcher's Homepage - Links to online texts and papers (published and unpublished) on Algebraic Topology, K-Theory, and 3-Manifolds. Algebraic K-theory, Groups and Categories - A report pursuant to the amalgamation in 1995 of two separate proposals for INTAS support in the areas of Algebraic K-theory, and Categorical Methods in Algebraic Homotopy and related topics. Period covered: 1997-2000. Project Coordinator: Prof. R. Brown Algebraic K-Theory, Linear Algebraic Groups and Related Structures - TMR Network Project. Network Coordinator: Ulf Rehmann, Bielefeld Algebraic Topology - An encyclopedic reference containing definitions, some discussion, and an assortment of useful links to various resources concerning Algebraic Topology and K-Theory. Algebraic Topology - Encyclopedic reference for "Algebraic Topology" in Dave Rusin's Mathematical Atlas. Includes a brief history along with various links to textbooks, reference works, and tutorials on the subject. Algebraic Topology and Concurrency - A collection of preprints on the applications of Algebraic Topology to Computer Science, such as the use of topological techniques to formulate synchronous models of distributed computing.

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Portals A-Z Categories Random ... discussion Algebraic topology Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces Contents The method of algebraic invariants Results on homology Setting in category theory Applications of algebraic topology ... edit The method of algebraic invariants The goal is to take topological spaces and further categorize or classify them. An older name for the subject was combinatorial topology , implying an emphasis on how a space X was constructed from simpler ones (the modern standard tool for such construction is the CW-complex ). The basic method now applied in algebraic topology is to investigate spaces via algebraic invariants, by mapping them, for example, to groups which have a great deal of manageable structure in a way that respects the relation of homeomorphism of spaces. This allows one to recast statements about topological spaces into statements about groups, which are often easier to prove. Two major ways in which this can be done are through fundamental groups , or more generally homotopy theory , and through homology and cohomology groups. The fundamental groups give us basic information about the structure of a topological space, but they are often

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